Two identical cylinders with a movable piston contain $0\mathrm{.}4$ mol of helium gas at a temperature of $300$ K$.$ The temperature of the gas in the first cylinder is increased to $464$ K at constant volume by doing work W$1$ and transferring energy Q$1$ by heat. The temperature of the gas in the second cylinder is increased to $464$ K at constant pressure by doing work W$2$ while transferring energy Q$2$ by heat.

Find $$Eint$,1,$ Q$1,$ and W$1$ for the process at constant volume. $($Enter your answers in J$.)$

$$Eint$,1=$

Your response differs from the correct answer by more than $10\%.$ Double check your calculations. JQ$1=$

Your response differs from the correct answer by more than $10\%.$ Double check your calculations. JW$1=$ J

Find $$Eint$,2,$ Q$2,$ and W$2$ for the process at constant pressure. $($Enter your answers in J$.)$

$$Eint$,2=$

Your response differs from the correct answer by more than $10\%.$ Double check your calculations. JQ$2=$

Your response differs from the correct answer by more than $10\%.$ Double check your calculations. JW$2=$